In a branching process having X = 1 and > 1, prove that o is the smallest

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In a branching process having X = 1 and > 1, prove that o is the smallest positive number satisfying Equation (4.15). Hint: Let be any solution of 'P). Show by mathematical induction that P(X = 0) for all n, and let no. In using the induction argue that P(X = 0) = (P{X-1 = 0))/P; 1-0

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